%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NLP252+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:52:05 PM UTC 2026
% Result : Theorem 1.33s 1.72s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 18 unt; 0 def)
% Number of atoms : 735 ( 0 equ)
% Maximal formula atoms : 106 ( 13 avg)
% Number of connectives : 1223 ( 543 ~; 521 |; 151 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 82 ( 13 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-13 aty)
% Number of variables : 278 ( 0 sgn 38 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ? [X1] :
( actual_world(X1)
& ? [X2,X3,X4,X5,X6,X7,X8] :
( of(X1,X3,X2)
& man(X1,X2)
& vincent_forename(X1,X3)
& forename(X1,X3)
& proposition(X1,X5)
& agent(X1,X4,X2)
& theme(X1,X4,X5)
& event(X1,X4)
& present(X1,X4)
& think_believe_consider(X1,X4)
& accessible_world(X1,X5)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( event(X5,X10)
& agent(X5,X10,X9)
& present(X5,X10)
& smoke(X5,X10) ) )
& of(X1,X6,X7)
& man(X1,X7)
& jules_forename(X1,X6)
& forename(X1,X6)
& man(X1,X7)
& state(X1,X8)
& be(X1,X8,X7,X7) ) )
& ~ ? [X11] :
( actual_world(X11)
& ? [X12,X13,X14,X2,X3,X4,X5,X6,X7,X8,X15,X16] :
( of(X11,X13,X12)
& man(X11,X12)
& vincent_forename(X11,X13)
& forename(X11,X13)
& of(X11,X14,X7)
& jules_forename(X11,X14)
& forename(X11,X14)
& of(X11,X3,X2)
& man(X11,X2)
& vincent_forename(X11,X3)
& forename(X11,X3)
& proposition(X11,X5)
& agent(X11,X4,X2)
& theme(X11,X4,X5)
& event(X11,X4)
& present(X11,X4)
& think_believe_consider(X11,X4)
& accessible_world(X11,X5)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( event(X5,X10)
& agent(X5,X10,X9)
& present(X5,X10)
& smoke(X5,X10) ) )
& of(X11,X6,X7)
& man(X11,X7)
& jules_forename(X11,X6)
& forename(X11,X6)
& man(X11,X7)
& state(X11,X8)
& be(X11,X8,X7,X7)
& proposition(X11,X16)
& agent(X11,X15,X12)
& theme(X11,X15,X16)
& event(X11,X15)
& present(X11,X15)
& think_believe_consider(X11,X15)
& accessible_world(X11,X16)
& ? [X17] :
( event(X16,X17)
& agent(X16,X17,X7)
& present(X16,X17)
& smoke(X16,X17) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax2,axiom,
! [X1,X2] :
( vincent_forename(X1,X2)
=> forename(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
! [X1,X2] :
( jules_forename(X1,X2)
=> forename(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax30,axiom,
! [X1,X2] :
( smoke(X1,X2)
=> event(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(ax49,axiom,
! [X1,X2,X3] :
( ( accessible_world(X2,X3)
& man(X2,X1) )
=> man(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(c_0_5,negated_conjecture,
~ ~ ( ? [X1] :
( actual_world(X1)
& ? [X2,X3,X4,X5,X6,X7,X8] :
( of(X1,X3,X2)
& man(X1,X2)
& vincent_forename(X1,X3)
& forename(X1,X3)
& proposition(X1,X5)
& agent(X1,X4,X2)
& theme(X1,X4,X5)
& event(X1,X4)
& present(X1,X4)
& think_believe_consider(X1,X4)
& accessible_world(X1,X5)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( event(X5,X10)
& agent(X5,X10,X9)
& present(X5,X10)
& smoke(X5,X10) ) )
& of(X1,X6,X7)
& man(X1,X7)
& jules_forename(X1,X6)
& forename(X1,X6)
& man(X1,X7)
& state(X1,X8)
& be(X1,X8,X7,X7) ) )
& ~ ? [X11] :
( actual_world(X11)
& ? [X12,X13,X14,X2,X3,X4,X5,X6,X7,X8,X15,X16] :
( of(X11,X13,X12)
& man(X11,X12)
& vincent_forename(X11,X13)
& forename(X11,X13)
& of(X11,X14,X7)
& jules_forename(X11,X14)
& forename(X11,X14)
& of(X11,X3,X2)
& man(X11,X2)
& vincent_forename(X11,X3)
& forename(X11,X3)
& proposition(X11,X5)
& agent(X11,X4,X2)
& theme(X11,X4,X5)
& event(X11,X4)
& present(X11,X4)
& think_believe_consider(X11,X4)
& accessible_world(X11,X5)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( event(X5,X10)
& agent(X5,X10,X9)
& present(X5,X10)
& smoke(X5,X10) ) )
& of(X11,X6,X7)
& man(X11,X7)
& jules_forename(X11,X6)
& forename(X11,X6)
& man(X11,X7)
& state(X11,X8)
& be(X11,X8,X7,X7)
& proposition(X11,X16)
& agent(X11,X15,X12)
& theme(X11,X15,X16)
& event(X11,X15)
& present(X11,X15)
& think_believe_consider(X11,X15)
& accessible_world(X11,X16)
& ? [X17] :
( event(X16,X17)
& agent(X16,X17,X7)
& present(X16,X17)
& smoke(X16,X17) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_6,negated_conjecture,
! [X430,X432,X433,X434,X435,X436,X437,X438,X439,X440,X441,X442,X443,X444,X446,X447] :
( actual_world(esk1_0)
& of(esk1_0,esk3_0,esk2_0)
& man(esk1_0,esk2_0)
& vincent_forename(esk1_0,esk3_0)
& forename(esk1_0,esk3_0)
& proposition(esk1_0,esk5_0)
& agent(esk1_0,esk4_0,esk2_0)
& theme(esk1_0,esk4_0,esk5_0)
& event(esk1_0,esk4_0)
& present(esk1_0,esk4_0)
& think_believe_consider(esk1_0,esk4_0)
& accessible_world(esk1_0,esk5_0)
& ( event(esk5_0,esk9_1(X430))
| ~ man(esk5_0,X430) )
& ( agent(esk5_0,esk9_1(X430),X430)
| ~ man(esk5_0,X430) )
& ( present(esk5_0,esk9_1(X430))
| ~ man(esk5_0,X430) )
& ( smoke(esk5_0,esk9_1(X430))
| ~ man(esk5_0,X430) )
& of(esk1_0,esk6_0,esk7_0)
& man(esk1_0,esk7_0)
& jules_forename(esk1_0,esk6_0)
& forename(esk1_0,esk6_0)
& man(esk1_0,esk7_0)
& state(esk1_0,esk8_0)
& be(esk1_0,esk8_0,esk7_0,esk7_0)
& ( man(X439,esk10_13(X432,X433,X434,X435,X436,X437,X438,X439,X440,X441,X442,X443,X444))
| ~ of(X432,X434,X433)
| ~ man(X432,X433)
| ~ vincent_forename(X432,X434)
| ~ forename(X432,X434)
| ~ of(X432,X435,X441)
| ~ jules_forename(X432,X435)
| ~ forename(X432,X435)
| ~ of(X432,X437,X436)
| ~ man(X432,X436)
| ~ vincent_forename(X432,X437)
| ~ forename(X432,X437)
| ~ proposition(X432,X439)
| ~ agent(X432,X438,X436)
| ~ theme(X432,X438,X439)
| ~ event(X432,X438)
| ~ present(X432,X438)
| ~ think_believe_consider(X432,X438)
| ~ accessible_world(X432,X439)
| ~ of(X432,X440,X441)
| ~ man(X432,X441)
| ~ jules_forename(X432,X440)
| ~ forename(X432,X440)
| ~ man(X432,X441)
| ~ state(X432,X442)
| ~ be(X432,X442,X441,X441)
| ~ proposition(X432,X444)
| ~ agent(X432,X443,X433)
| ~ theme(X432,X443,X444)
| ~ event(X432,X443)
| ~ present(X432,X443)
| ~ think_believe_consider(X432,X443)
| ~ accessible_world(X432,X444)
| ~ event(X444,X447)
| ~ agent(X444,X447,X441)
| ~ present(X444,X447)
| ~ smoke(X444,X447)
| ~ actual_world(X432) )
& ( ~ event(X439,X446)
| ~ agent(X439,X446,esk10_13(X432,X433,X434,X435,X436,X437,X438,X439,X440,X441,X442,X443,X444))
| ~ present(X439,X446)
| ~ smoke(X439,X446)
| ~ of(X432,X434,X433)
| ~ man(X432,X433)
| ~ vincent_forename(X432,X434)
| ~ forename(X432,X434)
| ~ of(X432,X435,X441)
| ~ jules_forename(X432,X435)
| ~ forename(X432,X435)
| ~ of(X432,X437,X436)
| ~ man(X432,X436)
| ~ vincent_forename(X432,X437)
| ~ forename(X432,X437)
| ~ proposition(X432,X439)
| ~ agent(X432,X438,X436)
| ~ theme(X432,X438,X439)
| ~ event(X432,X438)
| ~ present(X432,X438)
| ~ think_believe_consider(X432,X438)
| ~ accessible_world(X432,X439)
| ~ of(X432,X440,X441)
| ~ man(X432,X441)
| ~ jules_forename(X432,X440)
| ~ forename(X432,X440)
| ~ man(X432,X441)
| ~ state(X432,X442)
| ~ be(X432,X442,X441,X441)
| ~ proposition(X432,X444)
| ~ agent(X432,X443,X433)
| ~ theme(X432,X443,X444)
| ~ event(X432,X443)
| ~ present(X432,X443)
| ~ think_believe_consider(X432,X443)
| ~ accessible_world(X432,X444)
| ~ event(X444,X447)
| ~ agent(X444,X447,X441)
| ~ present(X444,X447)
| ~ smoke(X444,X447)
| ~ actual_world(X432) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
cnf(c_0_7,negated_conjecture,
( ~ event(X1,X2)
| ~ agent(X1,X2,esk10_13(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
| ~ present(X1,X2)
| ~ smoke(X1,X2)
| ~ of(X3,X5,X4)
| ~ man(X3,X4)
| ~ vincent_forename(X3,X5)
| ~ forename(X3,X5)
| ~ of(X3,X6,X11)
| ~ jules_forename(X3,X6)
| ~ forename(X3,X6)
| ~ of(X3,X8,X7)
| ~ man(X3,X7)
| ~ vincent_forename(X3,X8)
| ~ forename(X3,X8)
| ~ proposition(X3,X1)
| ~ agent(X3,X9,X7)
| ~ theme(X3,X9,X1)
| ~ event(X3,X9)
| ~ present(X3,X9)
| ~ think_believe_consider(X3,X9)
| ~ accessible_world(X3,X1)
| ~ of(X3,X10,X11)
| ~ man(X3,X11)
| ~ jules_forename(X3,X10)
| ~ forename(X3,X10)
| ~ man(X3,X11)
| ~ state(X3,X12)
| ~ be(X3,X12,X11,X11)
| ~ proposition(X3,X14)
| ~ agent(X3,X13,X4)
| ~ theme(X3,X13,X14)
| ~ event(X3,X13)
| ~ present(X3,X13)
| ~ think_believe_consider(X3,X13)
| ~ accessible_world(X3,X14)
| ~ event(X14,X15)
| ~ agent(X14,X15,X11)
| ~ present(X14,X15)
| ~ smoke(X14,X15)
| ~ actual_world(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X235,X236] :
( ~ vincent_forename(X235,X236)
| forename(X235,X236) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])]) ).
fof(c_0_9,plain,
! [X233,X234] :
( ~ jules_forename(X233,X234)
| forename(X233,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])]) ).
fof(c_0_10,plain,
! [X291,X292] :
( ~ smoke(X291,X292)
| event(X291,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).
cnf(c_0_11,negated_conjecture,
( man(X1,esk10_13(X2,X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13))
| ~ of(X2,X4,X3)
| ~ man(X2,X3)
| ~ vincent_forename(X2,X4)
| ~ forename(X2,X4)
| ~ of(X2,X5,X10)
| ~ jules_forename(X2,X5)
| ~ forename(X2,X5)
| ~ of(X2,X7,X6)
| ~ man(X2,X6)
| ~ vincent_forename(X2,X7)
| ~ forename(X2,X7)
| ~ proposition(X2,X1)
| ~ agent(X2,X8,X6)
| ~ theme(X2,X8,X1)
| ~ event(X2,X8)
| ~ present(X2,X8)
| ~ think_believe_consider(X2,X8)
| ~ accessible_world(X2,X1)
| ~ of(X2,X9,X10)
| ~ man(X2,X10)
| ~ jules_forename(X2,X9)
| ~ forename(X2,X9)
| ~ man(X2,X10)
| ~ state(X2,X11)
| ~ be(X2,X11,X10,X10)
| ~ proposition(X2,X13)
| ~ agent(X2,X12,X3)
| ~ theme(X2,X12,X13)
| ~ event(X2,X12)
| ~ present(X2,X12)
| ~ think_believe_consider(X2,X12)
| ~ accessible_world(X2,X13)
| ~ event(X13,X14)
| ~ agent(X13,X14,X10)
| ~ present(X13,X14)
| ~ smoke(X13,X14)
| ~ actual_world(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ actual_world(X3)
| ~ jules_forename(X3,X10)
| ~ jules_forename(X3,X6)
| ~ forename(X3,X10)
| ~ forename(X3,X8)
| ~ forename(X3,X6)
| ~ forename(X3,X5)
| ~ vincent_forename(X3,X8)
| ~ vincent_forename(X3,X5)
| ~ man(X3,X11)
| ~ man(X3,X7)
| ~ man(X3,X4)
| ~ state(X3,X12)
| ~ event(X14,X15)
| ~ event(X3,X13)
| ~ event(X3,X9)
| ~ event(X1,X2)
| ~ proposition(X3,X14)
| ~ proposition(X3,X1)
| ~ smoke(X14,X15)
| ~ smoke(X1,X2)
| ~ accessible_world(X3,X14)
| ~ accessible_world(X3,X1)
| ~ think_believe_consider(X3,X13)
| ~ think_believe_consider(X3,X9)
| ~ present(X14,X15)
| ~ present(X3,X13)
| ~ present(X3,X9)
| ~ present(X1,X2)
| ~ of(X3,X10,X11)
| ~ of(X3,X8,X7)
| ~ of(X3,X6,X11)
| ~ of(X3,X5,X4)
| ~ theme(X3,X13,X14)
| ~ theme(X3,X9,X1)
| ~ agent(X14,X15,X11)
| ~ agent(X3,X13,X4)
| ~ agent(X3,X9,X7)
| ~ be(X3,X12,X11,X11)
| ~ agent(X1,X2,esk10_13(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14)) ),
inference(cn,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( forename(X1,X2)
| ~ vincent_forename(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( forename(X1,X2)
| ~ jules_forename(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( event(X1,X2)
| ~ smoke(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( man(X1,esk10_13(X2,X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13))
| ~ actual_world(X2)
| ~ jules_forename(X2,X9)
| ~ jules_forename(X2,X5)
| ~ forename(X2,X9)
| ~ forename(X2,X7)
| ~ forename(X2,X5)
| ~ forename(X2,X4)
| ~ vincent_forename(X2,X7)
| ~ vincent_forename(X2,X4)
| ~ man(X2,X10)
| ~ man(X2,X6)
| ~ man(X2,X3)
| ~ state(X2,X11)
| ~ event(X13,X14)
| ~ event(X2,X12)
| ~ event(X2,X8)
| ~ proposition(X2,X13)
| ~ proposition(X2,X1)
| ~ smoke(X13,X14)
| ~ accessible_world(X2,X13)
| ~ accessible_world(X2,X1)
| ~ think_believe_consider(X2,X12)
| ~ think_believe_consider(X2,X8)
| ~ present(X13,X14)
| ~ present(X2,X12)
| ~ present(X2,X8)
| ~ of(X2,X9,X10)
| ~ of(X2,X7,X6)
| ~ of(X2,X5,X10)
| ~ of(X2,X4,X3)
| ~ theme(X2,X12,X13)
| ~ theme(X2,X8,X1)
| ~ agent(X13,X14,X10)
| ~ agent(X2,X12,X3)
| ~ agent(X2,X8,X6)
| ~ be(X2,X11,X10,X10) ),
inference(cn,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( ~ actual_world(X1)
| ~ present(X2,X3)
| ~ present(X1,X4)
| ~ present(X1,X5)
| ~ present(X6,X7)
| ~ agent(X6,X7,esk10_13(X1,X8,X9,X10,X11,X12,X5,X6,X13,X14,X15,X4,X2))
| ~ agent(X2,X3,X14)
| ~ agent(X1,X4,X8)
| ~ agent(X1,X5,X11)
| ~ think_believe_consider(X1,X4)
| ~ think_believe_consider(X1,X5)
| ~ theme(X1,X4,X2)
| ~ theme(X1,X5,X6)
| ~ be(X1,X15,X14,X14)
| ~ of(X1,X13,X14)
| ~ of(X1,X12,X11)
| ~ of(X1,X10,X14)
| ~ of(X1,X9,X8)
| ~ accessible_world(X1,X2)
| ~ accessible_world(X1,X6)
| ~ smoke(X2,X3)
| ~ smoke(X6,X7)
| ~ proposition(X1,X2)
| ~ proposition(X1,X6)
| ~ event(X1,X4)
| ~ event(X1,X5)
| ~ state(X1,X15)
| ~ man(X1,X14)
| ~ man(X1,X11)
| ~ man(X1,X8)
| ~ vincent_forename(X1,X12)
| ~ vincent_forename(X1,X9)
| ~ jules_forename(X1,X13)
| ~ jules_forename(X1,X10) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_13]),c_0_14]),c_0_15]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( agent(esk5_0,esk9_1(X1),X1)
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( man(X1,esk10_13(X2,X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13))
| ~ actual_world(X2)
| ~ present(X13,X14)
| ~ present(X2,X12)
| ~ present(X2,X8)
| ~ agent(X13,X14,X10)
| ~ agent(X2,X12,X3)
| ~ agent(X2,X8,X6)
| ~ think_believe_consider(X2,X12)
| ~ think_believe_consider(X2,X8)
| ~ theme(X2,X12,X13)
| ~ theme(X2,X8,X1)
| ~ be(X2,X11,X10,X10)
| ~ of(X2,X9,X10)
| ~ of(X2,X7,X6)
| ~ of(X2,X5,X10)
| ~ of(X2,X4,X3)
| ~ accessible_world(X2,X13)
| ~ accessible_world(X2,X1)
| ~ smoke(X13,X14)
| ~ proposition(X2,X13)
| ~ proposition(X2,X1)
| ~ event(X2,X12)
| ~ event(X2,X8)
| ~ state(X2,X11)
| ~ man(X2,X10)
| ~ man(X2,X6)
| ~ man(X2,X3)
| ~ vincent_forename(X2,X7)
| ~ vincent_forename(X2,X4)
| ~ jules_forename(X2,X9)
| ~ jules_forename(X2,X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_16,c_0_13]),c_0_14]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ actual_world(X1)
| ~ present(esk5_0,esk9_1(esk10_13(X1,X2,X3,X4,X5,X6,X7,esk5_0,X8,X9,X10,X11,X12)))
| ~ present(X12,X13)
| ~ present(X1,X11)
| ~ present(X1,X7)
| ~ agent(X12,X13,X9)
| ~ agent(X1,X11,X2)
| ~ agent(X1,X7,X5)
| ~ think_believe_consider(X1,X11)
| ~ think_believe_consider(X1,X7)
| ~ theme(X1,X7,esk5_0)
| ~ theme(X1,X11,X12)
| ~ be(X1,X10,X9,X9)
| ~ of(X1,X8,X9)
| ~ of(X1,X6,X5)
| ~ of(X1,X4,X9)
| ~ of(X1,X3,X2)
| ~ accessible_world(X1,esk5_0)
| ~ accessible_world(X1,X12)
| ~ smoke(esk5_0,esk9_1(esk10_13(X1,X2,X3,X4,X5,X6,X7,esk5_0,X8,X9,X10,X11,X12)))
| ~ smoke(X12,X13)
| ~ proposition(X1,esk5_0)
| ~ proposition(X1,X12)
| ~ event(X1,X11)
| ~ event(X1,X7)
| ~ state(X1,X10)
| ~ man(X1,X9)
| ~ man(X1,X5)
| ~ man(X1,X2)
| ~ vincent_forename(X1,X6)
| ~ vincent_forename(X1,X3)
| ~ jules_forename(X1,X8)
| ~ jules_forename(X1,X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( present(esk5_0,esk9_1(X1))
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( ~ actual_world(X1)
| ~ present(X2,X3)
| ~ present(X1,X4)
| ~ present(X1,X5)
| ~ agent(X2,X3,X6)
| ~ agent(X1,X4,X7)
| ~ agent(X1,X5,X8)
| ~ think_believe_consider(X1,X4)
| ~ think_believe_consider(X1,X5)
| ~ theme(X1,X5,esk5_0)
| ~ theme(X1,X4,X2)
| ~ be(X1,X9,X6,X6)
| ~ of(X1,X10,X6)
| ~ of(X1,X11,X8)
| ~ of(X1,X12,X6)
| ~ of(X1,X13,X7)
| ~ accessible_world(X1,esk5_0)
| ~ accessible_world(X1,X2)
| ~ smoke(esk5_0,esk9_1(esk10_13(X1,X7,X13,X12,X8,X11,X5,esk5_0,X10,X6,X9,X4,X2)))
| ~ smoke(X2,X3)
| ~ proposition(X1,esk5_0)
| ~ proposition(X1,X2)
| ~ event(X1,X4)
| ~ event(X1,X5)
| ~ state(X1,X9)
| ~ man(X1,X6)
| ~ man(X1,X8)
| ~ man(X1,X7)
| ~ vincent_forename(X1,X11)
| ~ vincent_forename(X1,X13)
| ~ jules_forename(X1,X10)
| ~ jules_forename(X1,X12) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( smoke(esk5_0,esk9_1(X1))
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( ~ actual_world(X1)
| ~ present(X2,X3)
| ~ present(X1,X4)
| ~ present(X1,X5)
| ~ agent(X2,X3,X6)
| ~ agent(X1,X4,X7)
| ~ agent(X1,X5,X8)
| ~ think_believe_consider(X1,X4)
| ~ think_believe_consider(X1,X5)
| ~ theme(X1,X5,esk5_0)
| ~ theme(X1,X4,X2)
| ~ be(X1,X9,X6,X6)
| ~ of(X1,X10,X6)
| ~ of(X1,X11,X8)
| ~ of(X1,X12,X6)
| ~ of(X1,X13,X7)
| ~ accessible_world(X1,esk5_0)
| ~ accessible_world(X1,X2)
| ~ smoke(X2,X3)
| ~ proposition(X1,esk5_0)
| ~ proposition(X1,X2)
| ~ event(X1,X4)
| ~ event(X1,X5)
| ~ state(X1,X9)
| ~ man(X1,X6)
| ~ man(X1,X8)
| ~ man(X1,X7)
| ~ vincent_forename(X1,X11)
| ~ vincent_forename(X1,X13)
| ~ jules_forename(X1,X10)
| ~ jules_forename(X1,X12) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19]) ).
cnf(c_0_25,negated_conjecture,
theme(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
actual_world(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
present(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
think_believe_consider(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
accessible_world(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,negated_conjecture,
proposition(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,negated_conjecture,
event(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,esk4_0,X4)
| ~ agent(esk1_0,X1,X5)
| ~ agent(X2,X3,X6)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ be(esk1_0,X7,X6,X6)
| ~ of(esk1_0,X8,X6)
| ~ of(esk1_0,X9,X4)
| ~ of(esk1_0,X10,X6)
| ~ of(esk1_0,X11,X5)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ state(esk1_0,X7)
| ~ man(esk1_0,X6)
| ~ man(esk1_0,X4)
| ~ man(esk1_0,X5)
| ~ vincent_forename(esk1_0,X9)
| ~ vincent_forename(esk1_0,X11)
| ~ jules_forename(esk1_0,X8)
| ~ jules_forename(esk1_0,X10) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_33,negated_conjecture,
agent(esk1_0,esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_34,negated_conjecture,
man(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,X5)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ be(esk1_0,X6,X5,X5)
| ~ of(esk1_0,X7,esk2_0)
| ~ of(esk1_0,X8,X5)
| ~ of(esk1_0,X9,X5)
| ~ of(esk1_0,X10,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ state(esk1_0,X6)
| ~ man(esk1_0,X5)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X7)
| ~ vincent_forename(esk1_0,X10)
| ~ jules_forename(esk1_0,X8)
| ~ jules_forename(esk1_0,X9) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_36,negated_conjecture,
be(esk1_0,esk8_0,esk7_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_37,negated_conjecture,
state(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_38,negated_conjecture,
man(esk1_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_39,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,esk7_0)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ of(esk1_0,X5,esk2_0)
| ~ of(esk1_0,X6,esk7_0)
| ~ of(esk1_0,X7,esk7_0)
| ~ of(esk1_0,X8,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X5)
| ~ vincent_forename(esk1_0,X8)
| ~ jules_forename(esk1_0,X6)
| ~ jules_forename(esk1_0,X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_40,negated_conjecture,
of(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_41,negated_conjecture,
vincent_forename(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,esk7_0)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ of(esk1_0,X5,esk7_0)
| ~ of(esk1_0,X6,esk7_0)
| ~ of(esk1_0,X7,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X7)
| ~ jules_forename(esk1_0,X5)
| ~ jules_forename(esk1_0,X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_43,negated_conjecture,
of(esk1_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,negated_conjecture,
jules_forename(esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_45,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,esk7_0)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ of(esk1_0,X5,esk7_0)
| ~ of(esk1_0,X6,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X6)
| ~ jules_forename(esk1_0,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_46,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,esk7_0)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ of(esk1_0,X5,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_43]),c_0_44])]) ).
cnf(c_0_47,negated_conjecture,
( ~ present(X1,X2)
| ~ agent(X1,X2,esk7_0)
| ~ theme(esk1_0,esk4_0,X1)
| ~ of(esk1_0,X3,esk2_0)
| ~ accessible_world(esk1_0,X1)
| ~ smoke(X1,X2)
| ~ proposition(esk1_0,X1)
| ~ vincent_forename(esk1_0,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_33]),c_0_27]),c_0_28]),c_0_31]),c_0_34])]) ).
cnf(c_0_48,negated_conjecture,
( ~ present(esk5_0,X1)
| ~ agent(esk5_0,X1,esk7_0)
| ~ of(esk1_0,X2,esk2_0)
| ~ smoke(esk5_0,X1)
| ~ vincent_forename(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_25]),c_0_29]),c_0_30])]) ).
fof(c_0_49,plain,
! [X344,X345,X346] :
( ~ accessible_world(X345,X346)
| ~ man(X345,X344)
| man(X346,X344) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
cnf(c_0_50,negated_conjecture,
( ~ of(esk1_0,X1,esk2_0)
| ~ man(esk5_0,esk7_0)
| ~ vincent_forename(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_18]),c_0_23]),c_0_21]) ).
cnf(c_0_51,plain,
( man(X2,X3)
| ~ accessible_world(X1,X2)
| ~ man(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_52,negated_conjecture,
~ man(esk5_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_41]),c_0_40])]) ).
cnf(c_0_53,negated_conjecture,
( man(esk5_0,X1)
| ~ man(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_29]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NLP252+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n005.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 00:03:00 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.33/1.72 % Version : CSE_E---1.7
% 1.33/1.72 % Problem : theBenchmark.p
% 1.33/1.72 % SZS status Theorem for theBenchmark.p
% 1.33/1.72 % SZS output start CNFRefutation
% See solution above
% 1.33/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------